133355071872 has 768 divisors, whose sum is σ = 455643955200. Its totient is φ = 38799129600.

The previous prime is 133355071849. The next prime is 133355071897. The reversal of 133355071872 is 278170553331.

133355071872 is a `hidden beast` number, since 1 + 33 + 35 + 507 + 1 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050039873 + ... + 1050039999.

It is an arithmetic number, because the mean of its divisors is an integer number (593286400).

Almost surely, 2^133355071872 is an apocalyptic number.

133355071872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133355071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227821977600).

133355071872 is an abundant number, since it is smaller than the sum of its proper divisors (322288883328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133355071872 is an equidigital number, since it uses as much as digits as its factorization.

133355071872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 133355071872 in words is "one hundred thirty-three billion, three hundred fifty-five million, seventy-one thousand, eight hundred seventy-two".